If \( x=a \sec ^{3} \theta \) and \( y=a \tan ^{3} \theta \), find ...
If \( x=a \sec ^{3} \theta \) and \( y=a \tan ^{3} \theta \), find \( \frac{d y}{d x} \) at \( \frac{\pi}{6} \).
\( \mathrm{P} \)
W
(1) \( \frac{1}{2} \)
(2) \( \frac{-1}{2} \)
(3) \( \frac{\sqrt{3}}{2} \)
(4) \( \frac{-\sqrt{3}}{2} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2023-12-21 | If \( x=3 \sin t-\sin 3 t, y=3 \cos t-\cos 3 t \). Find \( \frac{d ... |
2023-12-21 | Find the point on the curve \( y=(x-3)^{2} \) where the
P
tangent i... |
2023-12-21 | A generator produces a voltage that is given by \( \mathrm{V}=240 \sin (120 t) \) volt, where \(... |
2023-12-21 | Differentiate \( 2^{\cos ^{2} x} \) w.r.t. \( x \) at \( x=\frac{\p... |
2023-12-21 | If \( \mu=\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \) and \( v=\t... |
2023-12-21 | The peak voltage of \( 220 \mathrm{VAC} \) mains (in volt) is
(1) 155.6
(2) 220.0
P
(3) 311
(4) ... |
2023-12-21 | If \( \ln \left(x^{2}+y^{2}\right)=2 \tan ^{-1}\left(\frac{x}{y}\ri... |
2023-12-21 | Find \( \frac{d y}{d x} \) of \( \sec ^{-1}\left(\frac{1}{4 x^{3}-3... |
2023-12-21 | An ac voltage is represented by
\[
E=220 \sqrt{2} \cos (50 \pi) t
\]
\( \mathrm{P} \)
W
How many... |
2023-12-21 | If \( e^{x}+e^{y}=e^{x+y} \), then \( \frac{d y}{d x} \).
\( \mathr... |
2023-12-21 | If \( x=a \sec ^{3} \theta \) and \( y=a \tan ^{3} \theta \), find ... |
2023-12-21 | Differentiate coefficient of \( \sec \left(\tan ^{-1} x\right) \) w... |
2023-12-21 | If \( y=x \sin y \), then \( \frac{d y}{d x} \) is equal to
\( \mat... |
2023-12-21 | The value of derivative of \( f(x)=x^{\sin x} \) is \( (x0) \).
\( ... |
2023-12-21 | The impedance in a circuit containing a resistance of \( 1 \Omega \) and an inductance of \( 0.1... |
2023-12-21 | If \( x=a(\sin \theta-\theta \cos \theta) \) and \( y=a(\cos \theta... |
2023-12-21 | If \( x=3 t^{2}-4 t \) and \( y=t^{3}-3 \), then find \( \frac{d y}... |
2023-12-21 | A \( 15 \mu \mathrm{F} \) capacitor is connected to \( 220 \mathrm{~V}, 50 \mathrm{~Hz} \) sourc... |
2023-12-21 | If \( x^{2}+y^{2}=2 x y \), find \( \frac{d y}{d x} \) at \( x=1, y... |
2023-12-21 | If \( x=2 \sin ^{2} \theta \) and \( y=-4 \cos ^{2} \theta \), then... |
2023-12-21 | In the case of an inductor:
(1) Voltage leads the current by \( \frac{\pi}{4} \)
\( \mathrm{P} \... |